Least Common Multiple of 77/753, 306/475, 628/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/753, 306/475, 628/944 quickly i.e. 7398468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/753, 306/475, 628/944 is 7398468.

LCM(77/753, 306/475, 628/944) = 7398468

LCM of 77/753, 306/475, 628/944

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 77/753,306/475,628/944

Given numbers are 77/753,306/475,628/944

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 77,306,628

Least Common Multiple of Numerators i.e. LCM of 77,306,628 is 7398468.

GCF of Denominators means GCF of 753,475,944 as per the given fractions.

GCF of 753,475,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,306,628

LCM of Fractions 77/753,306/475,628/944 is 7398468

2 77, 306, 628
77, 153, 314

∴ So the LCM of the given numbers is 2 x 77 x 153 x 314 = 7398468

Least Common Multiple of 77,306,628 with GCF Formula

Least Common Multiple of 77,306,628 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 77,306,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,306,628) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(77,306,628) x common factors =1 x 2 = 2

LCM(77,306,628) = ( 77 × 306 × 628 ) / 2

LCM(77,306,628) = 14796936 / 2

LCM(77,306,628) = 7398468


Lets's calculate GCF of 753,475,944

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7398468/1

Therefore the LCM of Fractions 77/753,306/475,628/944 is 7398468

Greatest Common Factor of 753,475,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,475,944 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 753,475,944 . The biggest common factor number is the GCF number.
So the greatest common factor 753,475,944 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 77/753, 306/475, 628/944

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 77/753, 306/475, 628/944?

Answer: LCM of Numerators as per given numbers 77/753, 306/475, 628/944 is

LCM of Numerators i.e. for 77,306,628 is 7398468

GCF of denominators i.e. for 753,475,944 is 1.

Thus, LCM of Fractions is 7398468.Finally, LCM of Fractions for 77/753, 306/475, 628/944 is 7398468.